Question
Simplify the expression
−720x6y2+360x7y2
Evaluate
(5x×8y)(−3x5y)(6−3x)
Remove the parentheses
5x×8y(−3x5y)(6−3x)
Rewrite the expression
−5x×8y×3x5y(6−3x)
Multiply the terms
More Steps

Evaluate
5×8×3
Multiply the terms
40×3
Multiply the numbers
120
−120xyx5y(6−3x)
Multiply the terms with the same base by adding their exponents
−120x1+5y×y(6−3x)
Add the numbers
−120x6y×y(6−3x)
Multiply the terms
−120x6y2(6−3x)
Apply the distributive property
−120x6y2×6−(−120x6y2×3x)
Multiply the numbers
−720x6y2−(−120x6y2×3x)
Multiply the terms
More Steps

Evaluate
−120x6y2×3x
Multiply the numbers
−360x6y2x
Multiply the terms
More Steps

Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
−360x7y2
−720x6y2−(−360x7y2)
Solution
−720x6y2+360x7y2
Show Solution

Factor the expression
−360x6y2(2−x)
Evaluate
(5x×8y)(−3x5y)(6−3x)
Remove the parentheses
5x×8y(−3x5y)(6−3x)
Multiply the terms
40xy(−3x5y)(6−3x)
Rewrite the expression
−40xy×3x5y(6−3x)
Multiply the terms
−120xyx5y(6−3x)
Multiply the terms with the same base by adding their exponents
−120x1+5y×y(6−3x)
Add the numbers
−120x6y×y(6−3x)
Multiply the terms
−120x6y2(6−3x)
Factor the expression
−120x6y2×3(2−x)
Solution
−360x6y2(2−x)
Show Solution
